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Stability of neutral integro-dynamic equations on time scales.
- Source :
-
Nonlinear Studies . 2021, Vol. 28 Issue 2, p549-561. 13p. - Publication Year :
- 2021
-
Abstract
- Let T be a time scale not bounded below and above such that to e T. In this paper, we provide new sufficient conditions and use the Banach fixed point theorem to establish the stability results about the zero solution for the following Levin-Nohel intego-dynamic equation with variable delay ... where xΔ is Δ-derivative on T. An asymptotic stability theorem with a necessary and sufficient condition is proved. In addition, the case of the equation with several delays is studied. The results obtained here extend the work of Bessioud, Ardjouni, Djoudi [10] [ABSTRACT FROM AUTHOR]
- Subjects :
- *EQUATIONS
*TIME
*FIXED point theory
Subjects
Details
- Language :
- English
- ISSN :
- 13598678
- Volume :
- 28
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Nonlinear Studies
- Publication Type :
- Academic Journal
- Accession number :
- 150837438